The following tables have treatment in columns and strata in rows.
| cash | information | nudge | control | |
|---|---|---|---|---|
| Syr, M, < HS, never emp | 46 | 33 | 58 | 56 |
| Syr, M, < HS, ever emp | 77 | 70 | 90 | 132 |
| Syr, M, >= HS, never emp | 3 | 3 | 3 | 4 |
| Syr, M, >= HS, ever emp | 4 | 2 | 9 | 12 |
| Syr, F, < HS, never emp | 223 | 106 | 140 | 144 |
| Syr, F, < HS, ever emp | 49 | 29 | 77 | 77 |
| Syr, F, >= HS, never emp | 8 | 5 | 10 | 8 |
| Syr, F, >= HS, ever emp | 3 | 3 | 3 | 5 |
| Jor, M, < HS, never emp | 40 | 36 | 40 | 91 |
| Jor, M, < HS, ever emp | 35 | 86 | 102 | 96 |
| Jor, M, >= HS, never emp | 15 | 22 | 12 | 9 |
| Jor, M, >= HS, ever emp | 39 | 20 | 26 | 58 |
| Jor, F, < HS, never emp | 80 | 172 | 135 | 104 |
| Jor, F, < HS, ever emp | 50 | 61 | 70 | 50 |
| Jor, F, >= HS, never emp | 50 | 50 | 56 | 42 |
| Jor, F, >= HS, ever emp | 22 | 21 | 78 | 57 |
| cash | information | nudge | control | |
|---|---|---|---|---|
| Syr, M, < HS, never emp | 2 | 0 | 2 | 2 |
| Syr, M, < HS, ever emp | 5 | 3 | 6 | 8 |
| Syr, M, >= HS, never emp | 1 | 0 | 0 | 1 |
| Syr, M, >= HS, ever emp | 0 | 0 | 1 | 1 |
| Syr, F, < HS, never emp | 6 | 2 | 1 | 0 |
| Syr, F, < HS, ever emp | 1 | 1 | 2 | 1 |
| Syr, F, >= HS, never emp | 1 | 0 | 1 | 0 |
| Syr, F, >= HS, ever emp | 0 | 0 | 0 | 0 |
| Jor, M, < HS, never emp | 2 | 1 | 2 | 6 |
| Jor, M, < HS, ever emp | 4 | 9 | 13 | 11 |
| Jor, M, >= HS, never emp | 3 | 4 | 1 | 0 |
| Jor, M, >= HS, ever emp | 3 | 1 | 1 | 4 |
| Jor, F, < HS, never emp | 2 | 7 | 6 | 4 |
| Jor, F, < HS, ever emp | 8 | 6 | 4 | 4 |
| Jor, F, >= HS, never emp | 4 | 2 | 1 | 2 |
| Jor, F, >= HS, ever emp | 0 | 0 | 11 | 3 |
| cash | information | nudge | control | |
|---|---|---|---|---|
| Syr, M, < HS, never emp | 0.04 | 0.00 | 0.03 | 0.04 |
| Syr, M, < HS, ever emp | 0.06 | 0.04 | 0.07 | 0.06 |
| Syr, M, >= HS, never emp | 0.33 | 0.00 | 0.00 | 0.25 |
| Syr, M, >= HS, ever emp | 0.00 | 0.00 | 0.11 | 0.08 |
| Syr, F, < HS, never emp | 0.03 | 0.02 | 0.01 | 0.00 |
| Syr, F, < HS, ever emp | 0.02 | 0.03 | 0.03 | 0.01 |
| Syr, F, >= HS, never emp | 0.12 | 0.00 | 0.10 | 0.00 |
| Syr, F, >= HS, ever emp | 0.00 | 0.00 | 0.00 | 0.00 |
| Jor, M, < HS, never emp | 0.05 | 0.03 | 0.05 | 0.07 |
| Jor, M, < HS, ever emp | 0.11 | 0.10 | 0.13 | 0.11 |
| Jor, M, >= HS, never emp | 0.20 | 0.18 | 0.08 | 0.00 |
| Jor, M, >= HS, ever emp | 0.08 | 0.05 | 0.04 | 0.07 |
| Jor, F, < HS, never emp | 0.02 | 0.04 | 0.04 | 0.04 |
| Jor, F, < HS, ever emp | 0.16 | 0.10 | 0.06 | 0.08 |
| Jor, F, >= HS, never emp | 0.08 | 0.04 | 0.02 | 0.05 |
| Jor, F, >= HS, ever emp | 0.00 | 0.00 | 0.14 | 0.05 |
| cash | information | nudge | control | |
|---|---|---|---|---|
| Syr, M, < HS, never emp | 0.06 | 0.04 | 0.05 | 0.04 |
| Syr, M, < HS, ever emp | 0.07 | 0.05 | 0.06 | 0.06 |
| Syr, M, >= HS, never emp | 0.10 | 0.05 | 0.06 | 0.08 |
| Syr, M, >= HS, ever emp | 0.07 | 0.05 | 0.07 | 0.06 |
| Syr, F, < HS, never emp | 0.03 | 0.04 | 0.02 | 0.01 |
| Syr, F, < HS, ever emp | 0.04 | 0.05 | 0.04 | 0.03 |
| Syr, F, >= HS, never emp | 0.09 | 0.05 | 0.07 | 0.05 |
| Syr, F, >= HS, ever emp | 0.07 | 0.05 | 0.06 | 0.05 |
| Jor, M, < HS, never emp | 0.06 | 0.05 | 0.06 | 0.06 |
| Jor, M, < HS, ever emp | 0.09 | 0.08 | 0.10 | 0.10 |
| Jor, M, >= HS, never emp | 0.11 | 0.08 | 0.07 | 0.05 |
| Jor, M, >= HS, ever emp | 0.08 | 0.05 | 0.05 | 0.06 |
| Jor, F, < HS, never emp | 0.04 | 0.05 | 0.05 | 0.04 |
| Jor, F, < HS, ever emp | 0.12 | 0.07 | 0.06 | 0.07 |
| Jor, F, >= HS, never emp | 0.08 | 0.05 | 0.04 | 0.05 |
| Jor, F, >= HS, ever emp | 0.04 | 0.04 | 0.11 | 0.05 |
| stratum | cash | information | nudge | control |
|---|---|---|---|---|
| Syr, M, < HS, never emp | 0.42 | 0.14 | 0.24 | 0.21 |
| Syr, M, < HS, ever emp | 0.38 | 0.09 | 0.32 | 0.22 |
| Syr, M, >= HS, never emp | 0.49 | 0.08 | 0.14 | 0.29 |
| Syr, M, >= HS, ever emp | 0.28 | 0.13 | 0.32 | 0.26 |
| Syr, F, < HS, never emp | 0.39 | 0.48 | 0.11 | 0.02 |
| Syr, F, < HS, ever emp | 0.29 | 0.40 | 0.22 | 0.08 |
| Syr, F, >= HS, never emp | 0.48 | 0.11 | 0.29 | 0.12 |
| Syr, F, >= HS, ever emp | 0.37 | 0.17 | 0.26 | 0.19 |
| Jor, M, < HS, never emp | 0.32 | 0.11 | 0.24 | 0.34 |
| Jor, M, < HS, ever emp | 0.27 | 0.07 | 0.39 | 0.27 |
| Jor, M, >= HS, never emp | 0.61 | 0.20 | 0.13 | 0.06 |
| Jor, M, >= HS, ever emp | 0.44 | 0.13 | 0.16 | 0.26 |
| Jor, F, < HS, never emp | 0.19 | 0.24 | 0.34 | 0.23 |
| Jor, F, < HS, ever emp | 0.78 | 0.08 | 0.04 | 0.10 |
| Jor, F, >= HS, never emp | 0.62 | 0.13 | 0.07 | 0.19 |
| Jor, F, >= HS, ever emp | 0.05 | 0.02 | 0.86 | 0.06 |
| stratum | cash | information | nudge | control |
|---|---|---|---|---|
| Syr, M, < HS, never emp | 0.38 | 0.16 | 0.24 | 0.22 |
| Syr, M, < HS, ever emp | 0.35 | 0.12 | 0.30 | 0.22 |
| Syr, M, >= HS, never emp | 0.44 | 0.11 | 0.17 | 0.28 |
| Syr, M, >= HS, ever emp | 0.28 | 0.16 | 0.31 | 0.26 |
| Syr, F, < HS, never emp | 0.36 | 0.43 | 0.14 | 0.07 |
| Syr, F, < HS, ever emp | 0.28 | 0.37 | 0.23 | 0.12 |
| Syr, F, >= HS, never emp | 0.44 | 0.14 | 0.28 | 0.15 |
| Syr, F, >= HS, ever emp | 0.35 | 0.19 | 0.26 | 0.20 |
| Jor, M, < HS, never emp | 0.30 | 0.14 | 0.24 | 0.32 |
| Jor, M, < HS, ever emp | 0.26 | 0.11 | 0.36 | 0.27 |
| Jor, M, >= HS, never emp | 0.53 | 0.21 | 0.16 | 0.09 |
| Jor, M, >= HS, ever emp | 0.41 | 0.16 | 0.18 | 0.26 |
| Jor, F, < HS, never emp | 0.21 | 0.24 | 0.32 | 0.23 |
| Jor, F, < HS, ever emp | 0.68 | 0.11 | 0.08 | 0.13 |
| Jor, F, >= HS, never emp | 0.54 | 0.15 | 0.10 | 0.20 |
| Jor, F, >= HS, ever emp | 0.09 | 0.07 | 0.74 | 0.10 |
| stratum | cash | information | nudge | control |
|---|---|---|---|---|
| Syr, M, < HS, never emp | (0.020, 0.100) | (0.010, 0.070) | (0.020, 0.080) | (0.020, 0.080) |
| Syr, M, < HS, ever emp | (0.030, 0.110) | (0.020, 0.080) | (0.030, 0.100) | (0.030, 0.090) |
| Syr, M, >= HS, never emp | (0.030, 0.220) | (0.010, 0.100) | (0.010, 0.120) | (0.020, 0.180) |
| Syr, M, >= HS, ever emp | (0.010, 0.150) | (0.020, 0.100) | (0.020, 0.140) | (0.020, 0.140) |
| Syr, F, < HS, never emp | (0.020, 0.050) | (0.010, 0.060) | (0.010, 0.040) | (0.000, 0.030) |
| Syr, F, < HS, ever emp | (0.010, 0.080) | (0.020, 0.090) | (0.010, 0.070) | (0.010, 0.060) |
| Syr, F, >= HS, never emp | (0.030, 0.180) | (0.010, 0.090) | (0.020, 0.140) | (0.010, 0.110) |
| Syr, F, >= HS, ever emp | (0.010, 0.160) | (0.010, 0.100) | (0.010, 0.120) | (0.010, 0.120) |
| Jor, M, < HS, never emp | (0.020, 0.110) | (0.020, 0.080) | (0.020, 0.100) | (0.030, 0.100) |
| Jor, M, < HS, ever emp | (0.040, 0.160) | (0.040, 0.120) | (0.070, 0.150) | (0.060, 0.150) |
| Jor, M, >= HS, never emp | (0.050, 0.220) | (0.040, 0.150) | (0.020, 0.130) | (0.010, 0.110) |
| Jor, M, >= HS, ever emp | (0.030, 0.130) | (0.020, 0.090) | (0.020, 0.100) | (0.030, 0.110) |
| Jor, F, < HS, never emp | (0.010, 0.070) | (0.030, 0.070) | (0.030, 0.080) | (0.020, 0.070) |
| Jor, F, < HS, ever emp | (0.070, 0.200) | (0.040, 0.110) | (0.030, 0.100) | (0.030, 0.120) |
| Jor, F, >= HS, never emp | (0.040, 0.130) | (0.020, 0.080) | (0.010, 0.070) | (0.020, 0.100) |
| Jor, F, >= HS, ever emp | (0.010, 0.100) | (0.010, 0.080) | (0.070, 0.160) | (0.020, 0.100) |
Comparison of the average potential outcomes for the actually chosen treatment assignment to the average that would have obtained under random assignment, \[\begin{align*} \Delta_1 &= \tfrac{1}{N} \sum_{i,t} \left ( \hat E\left [\theta^{D_{it} X_{it}} \right ] - \tfrac{1}{4} \sum_d \hat E\left [\theta^{d X_{it}}\right ] \right )\\ &=0.001 \end{align*}\]
Comparison of the optimal targeted policy, and the optimal non-targeted policy, to the default of (treatment \(0\)), \[\begin{align*} \Delta_2 &= \sum_x \left ( \max_d \hat E\left [\theta^{dx} \right ] - \hat E\left [\theta^{0x} \right ] \right ) p^x\\ &= 0.019, \\ \Delta_3 &= \max_d \sum_x \left (\hat E\left [\theta^{dx} \right ] - \hat E\left [\theta^{0x} \right ] \right ) p^x \\ &= 0.013. \end{align*}\]
95% credible sets: \[\begin{align*} \Delta_1: &\quad (-0.001, 0.003)\\ \Delta_2: &\quad (0.000, 0.039)\\ \Delta_3: &\quad (-0.009, 0.035) \end{align*}\]
90% credible sets: \[\begin{align*} \Delta_1: &\quad (-0.001, 0.003)\\ \Delta_2: &\quad (0.003, 0.036)\\ \Delta_3: &\quad (-0.006, 0.031) \end{align*}\]